MATHEMATICS HIGH SCHOOL

What is the next term for the given arithmetic sequence? -3, -2.25, -1.5, -0.75, ...-0.25
0
0.75

Answers

Answer 1

Answer:

Option B is the correct answer.

Step-by-step explanation:

Arithmetic progression have a first term and common difference.

Here first term, a = -3

Common difference, d = -2.25 - (-3) = -2.25 + 3 = 0.75

The n th term of an arithmetic progression is given by a + (n-1) d

Here we need to find fifth term, that is n = 5

Fifth term = a + (n-1) d = -3 + (5-1) x 0.75

Fifth term = a + (n-1) d = -3 + 4 x 0.75

Fifth term = a + (n-1) d = -3 + 3 = 0

So next term for the given arithmetic sequence = 0

Option B is the correct answer.

Answer 2

Answer: the next term in the arithmetic sequence is 0 since its adding 0.75 every time.

Related Questions

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What is the sum of 2/10 and 3/10 in simplest form
Find the volume of a cube whose diagonal measures 36√3 cm.
The length of a rectangle is increasing at a rate of and its width is increasing at a rate of . when the length is 20 cm and the width is 10 cm, how fast is the area of the rectangle increasing?
What is the ratio 17/51 in simplest form?

Describe all the possible locations for the graph of (x,y) if x=2

Answers

If x=2, the line is just a straight, vertical line intersecting the x-axis at 2.

(2,1),(2,0).(2,2), (2,3),(2,4) and so on

I NEED HELP FIJCMIEDF

Answers

Answer:

i sure for the bottom one is 3

Use the definition of exponential notation to demonstrate why 2^3*4^3=2^9

Answers

exponential notation allows the representation of numbers in shorter form.
(2 x 2 x 2)(4x4x4) = 2x2x2x2x2x2x2x2x2

$2^3*4^3=2^9$

$8*4^3=2^9$

$8*64=2^9$

$8*64=512$

$512=512$

Infinitely Many Solutions

the lenghtvof each side of a square is 2.5 meter. if each side is doubled in length, what is the effect on the perimeter of the square? a.it remain the same b.it is one half the original perimeter c. it is four time the original perimeter d. it is twice the original perimeter.

Answers

Answer:

Step-by-step explanation:

Alright, lets get started.

The side length of square is given as 2.5.

So, the perimeter if square will be : $4*2.5=10.0$

Once the side is doubled, means new dimension of side of square will be : $2*2.5=5$

So the new perimeter will be : $4*5=20$

The original perimeter is 10.

The new perimeter is 20.

It means the perimeter is twice the original perimeter. : Answer D

Hope it will help :)

T=4.5

Simplifying3t + 4 = t + 13
Reorder the terms:4 + 3t = t + 13
Reorder the terms:4 + 3t = 13 + t
Solving4 + 3t = 13 + t
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '-1t' to each side of the equation.4 + 3t + -1t = 13 + t + -1t
Combine like terms: 3t + -1t = 2t4 + 2t = 13 + t + -1t
Combine like terms: t + -1t = 04 + 2t = 13 + 04 + 2t = 13
Add '-4' to each side of the equation.4 + -4 + 2t = 13 + -4
Combine like terms: 4 + -4 = 00 + 2t = 13 + -42t = 13 + -4
Combine like terms: 13 + -4 = 92t = 9
Divide each side by '2'.t = 4.5
Simplifyingt = 4.5

I got help from a website called geteasysolution

B is the midpoint of ac d is the midpoint of ce and ae =21 what is bd

Answers

bd = 1/2 ae
bd = 1/2 × 21 = 10.5

A restaurant has two pastry ovens. When both ovens are used, it takes about 3 hours to bake the bread needed for one day. When only the large oven is used, it takes about 4 hours to bake the bread for one day. Approximately how long would it take to bake the bread for one day if only the small oven were used?

Answers

It would approximately take 5 hours if with 2 it takes 3 hrs and the large one by its self 4 hrs. So it would be reasonable if it is one more hour

Final answer:

By understanding the rate at which each oven bakes the bread, we can calculate that it would take the small oven 12 hours to bake the bread for one day.

Explanation:

To solve this problem, we need to first understand the rate at which each oven bakes the bread. When both ovens are working together, it takes 3 hours to bake a day's worth of bread. This means their combined rate of work is 1/3 of the day's bread per hour. However, when only the large oven is used, it takes 4 hours to complete the same amount of work. Therefore, the large oven's rate of work is 1/4 of the day's bread per hour.

Our goal is to find the small oven's rate of work. To do this, we subtract the large oven's rate of work from the combined rate of work. This leaves us with 1/3 - 1/4 = 1/12 of the day's bread per hour. Therefore, it would take the small oven 12 hours to bake the bread for one day on its own.